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Finding the Fourth Proportional to 542.58, 814.41 and 311.91

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Solution

The fourth proportional to 542.58, 814.41 and 311.91 is: 468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.58 : 814.41 = 311.91 : x
  2. Step 2: Convert to fraction form
    542.58/814.41 = 311.91/x
  3. Step 3: Cross multiply
    542.58x = 814.41 × 311.91
  4. Step 4: Simplify right side
    542.58x = 254,022.62
  5. Step 5: Solve for x
    x = 254,022.62/542.58
  6. Step 6: Final answer
    x = 468.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.